TY - CHAP

T1 - Statics

AU - Filippov, S. B.

N1 - Publisher Copyright: © 2021, Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - This chapter gives a brief outline of the statics of rigid solids and systems of rigid solids. Two definitions of the equivalence of systems of forces are given and shown to be equivalent. Setting up of equilibrium equations of mechanical systems by various methods is demonstrated by examples. Problems of determination of the position of the center of mass of a rigid solid, an equilibrium of a truss, and a flexible inextensible string are considered. Properties of friction forces are described, the solution to the Euler’s equilibrium problem of a string wound on a cylinder is found.

AB - This chapter gives a brief outline of the statics of rigid solids and systems of rigid solids. Two definitions of the equivalence of systems of forces are given and shown to be equivalent. Setting up of equilibrium equations of mechanical systems by various methods is demonstrated by examples. Problems of determination of the position of the center of mass of a rigid solid, an equilibrium of a truss, and a flexible inextensible string are considered. Properties of friction forces are described, the solution to the Euler’s equilibrium problem of a string wound on a cylinder is found.

UR - http://www.scopus.com/inward/record.url?scp=85114327332&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-64061-3_10

DO - 10.1007/978-3-030-64061-3_10

M3 - Chapter

AN - SCOPUS:85114327332

T3 - Foundations in Engineering Mechanics

SP - 431

EP - 463

BT - Foundations in Engineering Mechanics

PB - Springer Nature

ER -